The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  2  1  8  1  1  1  2  1  2  1 12  4  0  1  1  0  1  2  0  2  1  1
 0  2  0  6  4  6 12  2  8  0  6 14  4  4  2 10  6  2  0 10  6 12  2  6  6 14 14  4 14  8  2  2  2  6 14  2 10  0  0  0  4  4
 0  0 12  0  4  0  0  8  0  4  4 12  8  4 12 12  8  0  8  0  4  0  4  4 12  0  8 12 12  0  8  4  8  4 12  0  4  0  4 12  8 12
 0  0  0 12  0  0  8  4  4  4  4  8 12  4  0  4  0 12  8  8  4  8  0  4 12 12  4  8  0 12  0 12  8  0  0  8  4  4  0  8  8  4
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  8  8  8  8  0  0  0  8  0  8  8  8  8  8  0  8  8  8  0  0  8  8  8  0  8  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+96x^37+225x^38+316x^39+512x^40+714x^41+638x^42+500x^43+470x^44+284x^45+139x^46+102x^47+39x^48+26x^49+13x^50+8x^51+2x^52+8x^54+2x^55+1x^58

The gray image is a code over GF(2) with n=336, k=12 and d=148.
This code was found by Heurico 1.16 in 41 seconds.